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Finding the Third Proportional to 3,677,954 and 5,708,259

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Solution

The third proportional to 3,677,954 and 5,708,259 is: 8,859,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,954 : 5,708,259 = 5,708,259 : x
  2. Step 2: Convert to fraction form
    3,677,954/5,708,259 = 5,708,259/x
  3. Step 3: Cross multiply
    3,677,954x = 5,708,259 × 5,708,259
  4. Step 4: Simplify right side
    3,677,954x = 32,584,220,811,081
  5. Step 5: Solve for x
    x = 32,584,220,811,081/3,677,954
  6. Step 6: Final answer
    x = 8,859,333.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.